What you are referring to is not logic but “scientific method”, they gave up using logic because people like you wanted to hide their sin, and scientific method allows you to do so. Why do they not allow logic near their sacred cows? Because they know that the cows can’t stand up to logic.

Fine, then don't use your computer, medicine, clothing (made of abominable mixed fabrics no less!), or food from the store as those are all the result of the sinful scientific method. Stop hiding your sin by living a modern life with modern technology and posting on the internet!

The very fact that this person thinks that science and logic are unrelated and/or contradictory demonstrates that he/she knows nothing about either.

Science:
1. Have a question about something.
2. Make a guess as to what would happen, and set up an experiment that would prove whether or not your guess is correct. This guess is called a "hypothesis."
3. Perform that experiment. Record whether or not your hypothesis turned out to be right--be honest.
4. Come up with a rule that supports both the results of your experiment and the results of other people's experiments. This rule is called a "theory." If an old theory is overturned by experimental evidence, that theory must be faulty and should be revised or replaced, depending on just how faulty it is. (Or as the apostle Paul once put it, "Test everything; hold to the good.")
5. Repeat steps 1-4 ad infinitum.

The scientific method was invented BECAUSE it is a logical way of looking at our world.